Print model for craft object?
You can get the desired result using the UV mapping feature.

Start with U to bring up the unwrap menu. There will be several options. Try smart UV project. After doing that, hit F6, and set the Island Margin to 0.03, so you can see the gaps. Next open up the UV image editor, and you should see the layout inside. This is how the paper template will look. If you don't like it (probably to many separate parts) you can use a manual process.

To manually define the cuts, hit Tab  to enter edit mode. Select the edges where you will wan't gaps. Be sure to select enough that it can sit flat. Hit Ctrl-E>Mark seems then use U>Unwrap and set the Island margin to 0.03.

Finally, when you're satisfied with your layout, Go to UVs>Export Uv Layout and save the image.

Useful further reading and help:


Importing an OBJ file: https://youtu.be/5t2Ntn6JDAY?t=1m53s